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Article: On fluid motion in librating ellipsoids with moderate equatorial eccentricity

TitleOn fluid motion in librating ellipsoids with moderate equatorial eccentricity
Authors
Keywordsgeophysical and geological flows
rotating flows
topographic effects
Issue Date2011
PublisherCambridge University Press. The Journal's web site is located at http://journals.cambridge.org/action/displayJournal?jid=FLM
Citation
Journal Of Fluid Mechanics, 2011, v. 673, p. 468-479 How to Cite?
AbstractThe motion of a homogeneous fluid of viscosity confined in a librating ellipsoidal cavity with semi-axes a and moderate equatorial eccentricity is investigated. The ellipsoid rotates with an angular velocity 0(1 + sint), where 0 is the mean rate of rotation, is the libration frequency and 0 represents the amplitude of longitudinal libration. When 2 and E 1/2 2 1, where E is the Ekman number defined as E = /(a 20), an explicit analytical solution describing fluid motion in librating ellipsoids is derived for any size of the libration frequency. Three-dimensional numerical simulations of the same problem are also performed, revealing the generation of mean zonal flow in librating ellipsoidal cavities and showing a satisfactory agreement between the asymptotic and numerical analyses. Copyright © Cambridge University Press 2011.
Persistent Identifierhttp://hdl.handle.net/10722/135160
ISSN
2015 Impact Factor: 2.514
2015 SCImago Journal Rankings: 1.450
ISI Accession Number ID
Funding AgencyGrant Number
UK NERC
STFC
Kong RGC700308
700310
CAS
NSFC/10633030
Funding Information:

K.Z. would like to thank J. Laskar who was able to provide an alternative proof for B<INF>nk</INF> = 0 after K.Z. gave a talk on the problem. We also thank J. Noir and J. Aurnou for helpful discussion about the problem. K.Z. is supported by UK NERC and STFC grants, K. H. C. is supported by Hong Kong RGC grants 700308 and 700310 and X. L. is supported by NSFC/10633030 and CAS grants. The parallel computation is supported by Shanghai Supercomputer Center and Swiss National Supercomputing Center.

References

 

DC FieldValueLanguage
dc.contributor.authorZhang, Ken_HK
dc.contributor.authorChan, KHen_HK
dc.contributor.authorLiao, Xen_HK
dc.date.accessioned2011-07-27T01:29:10Z-
dc.date.available2011-07-27T01:29:10Z-
dc.date.issued2011en_HK
dc.identifier.citationJournal Of Fluid Mechanics, 2011, v. 673, p. 468-479en_HK
dc.identifier.issn0022-1120en_HK
dc.identifier.urihttp://hdl.handle.net/10722/135160-
dc.description.abstractThe motion of a homogeneous fluid of viscosity confined in a librating ellipsoidal cavity with semi-axes a and moderate equatorial eccentricity is investigated. The ellipsoid rotates with an angular velocity 0(1 + sint), where 0 is the mean rate of rotation, is the libration frequency and 0 represents the amplitude of longitudinal libration. When 2 and E 1/2 2 1, where E is the Ekman number defined as E = /(a 20), an explicit analytical solution describing fluid motion in librating ellipsoids is derived for any size of the libration frequency. Three-dimensional numerical simulations of the same problem are also performed, revealing the generation of mean zonal flow in librating ellipsoidal cavities and showing a satisfactory agreement between the asymptotic and numerical analyses. Copyright © Cambridge University Press 2011.en_HK
dc.languageengen_US
dc.publisherCambridge University Press. The Journal's web site is located at http://journals.cambridge.org/action/displayJournal?jid=FLMen_HK
dc.relation.ispartofJournal of Fluid Mechanicsen_HK
dc.rightsJournal of Fluid Mechanics. Copyright © Cambridge University Press.en_US
dc.rightsCreative Commons: Attribution 3.0 Hong Kong License-
dc.subjectgeophysical and geological flowsen_HK
dc.subjectrotating flowsen_HK
dc.subjecttopographic effectsen_HK
dc.titleOn fluid motion in librating ellipsoids with moderate equatorial eccentricityen_HK
dc.typeArticleen_HK
dc.identifier.emailChan, KH:mkhchan@hku.hken_HK
dc.identifier.authorityChan, KH=rp00664en_HK
dc.description.naturelink_to_subscribed_fulltext-
dc.description.naturepublished_or_final_version-
dc.identifier.doi10.1017/S0022112011000735en_HK
dc.identifier.scopuseid_2-s2.0-79956036762en_HK
dc.identifier.hkuros188098en_US
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-79956036762&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume673en_HK
dc.identifier.spage468en_HK
dc.identifier.epage479en_HK
dc.identifier.eissn1469-7645-
dc.identifier.isiWOS:000289534000018-
dc.publisher.placeUnited Kingdomen_HK
dc.identifier.scopusauthoridZhang, K=7404451892en_HK
dc.identifier.scopusauthoridChan, KH=7406033542en_HK
dc.identifier.scopusauthoridLiao, X=7202134147en_HK

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